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Ontario Tech acknowledges the lands and people of the Mississaugas of Scugog Island First Nation.

We are thankful to be welcome on these lands in friendship. The lands we are situated on are covered by the Williams Treaties and are the traditional territory of the Mississaugas, a branch of the greater Anishinaabeg Nation, including Algonquin, Ojibway, Odawa and Pottawatomi. These lands remain home to many Indigenous nations and peoples.

We acknowledge this land out of respect for the Indigenous nations who have cared for Turtle Island, also called North America, from before the arrival of settler peoples until this day. Most importantly, we acknowledge that the history of these lands has been tainted by poor treatment and a lack of friendship with the First Nations who call them home.

This history is something we are all affected by because we are all treaty people in Canada. We all have a shared history to reflect on, and each of us is affected by this history in different ways. Our past defines our present, but if we move forward as friends and allies, then it does not have to define our future.

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January 20 ,2016

Speaker: Dr. Eiichi Sasaki, Osaka University
Title: Unstable periodic orbits in plane Couette flow with the Smagorinsky model
Abstract: First,  I will discuss high Reynolds number turbulence in channels, modelling by Large Eddy Simulation and the role of Unstable Periodic Orbits (UPOs).
We then aim at a description of the logarithmic velocity profile of wall turbulence in terms of UPOs for plane Couette flow with a Smagorinsky-type eddy viscosity model. We study the bifurcation structure with respect to the Smagorinsky constant, arising from the gentle UPO reported by Kawahara and Kida (2001) for the Navier-Stokes (NS) equation. We find that the obtained UPOs in the LES system connect to those in the NS system, and that the gentle UPO in the LES system is an edge state branch whose stable manifold separates LES turbulence from an LES `laminar' state.
The mean and root-mean-square velocity profiles of the upper branch of the LES gentle UPO are in good agreement with those of LES turbulence.